let X(bar) be the mean of a random sample of size n=10 from a distribution with pdf f(x) = 6x(1-x) for 0<x<1. Find the mean and the variance of X(bar).
I feel like there is just a simple formula for this but I cannot for the life of me remember this. It sounds like a foreign language right now! Please help with any input you can, this is due tomorrow.